131320525600 has 216 divisors, whose sum is σ = 373112814564. Its totient is φ = 44943360000.

The previous prime is 131320525591. The next prime is 131320525601. The reversal of 131320525600 is 6525023131.

It can be written as a sum of positive squares in 6 ways, for example, as 45370704016 + 85949821584 = 213004^2 + 293172^2 .

It is not an unprimeable number, because it can be changed into a prime (131320525601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1605700 + ... + 1685500.

Almost surely, 2^131320525600 is an apocalyptic number.

131320525600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131320525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186556407282).

131320525600 is an abundant number, since it is smaller than the sum of its proper divisors (241792288964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131320525600 is a wasteful number, since it uses less digits than its factorization.

131320525600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79860 (or 79836 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 131320525600 its reverse (6525023131), we get a palindrome (137845548731).

The spelling of 131320525600 in words is "one hundred thirty-one billion, three hundred twenty million, five hundred twenty-five thousand, six hundred".